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Question
Study the graph and answer each of the following:
- Write the coordinates of points A, B, C and D.
- Given that, point C is the image of point A. Name and write the equation of the line of reflection.
- Write the coordinates of the image of the point D under reflection in y-axis.
- Whats the name given to a point whose image is the point itself?
- On joining the points A, B, C, D and A in order, a figure is formed. Name the closed figure.
Solution
- A(3, 3), B(–2, 1), C(3, –1) and D(0, 1)
- BD and y = 1 is the line of reflection.
- D(0, 1)
- Invariant point.
- Concave Quadrilateral or Arrowhead.
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RELATED QUESTIONS
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State the co-ordinates of the images of the following point under reflection in the y-axis:
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Use graph sheet to Solution this question. Take 2 cm = 1 unit alogn both the axes.
- Plot A, B, C where A(0, 4), B(1, 1) and C(4, 0)
- Reflect A and B on the x-axis and name them as E and D respectively.
- Reflect B through the origion and name it F. Write down the coordinates of F.
- Reflect B and C on the y-axis and name them as H and G respectively.
- Join points A, B, C, D, E, F, G, H and A in order and name the closed figure formed.
Use graph sheet for this question. Take 2 cm = 1 unit along the axes.
- Plot A(0, 3), B(2, 1) and C(4, –1).
- Reflect point B and C in y-axis and name their images as B' and C' respectively. Plot and write coordinates of the points B' and C'.
- Reflect point A in the line BB' and name its images as A'.
- Plot and write coordinates of point A'.
- Join the points ABA'B' and give the geometrical name of the closed figure so formed.
